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Controlling chaos in a Lorenz-like system using feedback.

G Kociuba1, N R Heckenberg

  • 1Department of Physics, University of Queensland, St. Lucia, Queensland, Australia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
PubMed
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We show that autonomous chaotic laser dynamics can be controlled to stable states. Specific feedback delays enable stabilization of chaotic laser pulsations to periodic or steady states, crucial for laser control.

Area of Science:

  • Nonlinear dynamics
  • Laser physics
  • Chaos theory

Background:

  • Autonomous lasers can exhibit complex chaotic pulsations beyond a certain threshold.
  • Controlling chaotic behavior in lasers is challenging due to submerged dependencies on control parameters.

Purpose of the Study:

  • To demonstrate the control of autonomous chaotic laser dynamics.
  • To identify conditions for stabilizing chaotic laser output to predictable states.

Main Methods:

  • Utilizing self-synchronization in an autonomous chaotic laser system.
  • Applying feedback control to the laser pump with specific delay times and amplitudes.
  • Comparing experimental results with complex Lorenz equations.

Main Results:

Related Experiment Videos

  • Demonstrated control of chaotic laser dynamics to periodic and steady states.
  • Identified specific feedback delay times and amplitudes critical for stabilization.
  • Observed good agreement between experimental data and complex Lorenz equation predictions.

Conclusions:

  • Autonomous chaotic laser dynamics are controllable via self-synchronization.
  • Feedback delay is a critical parameter for stabilizing chaos in lasers.
  • The complex Lorenz equations accurately model the observed controlled chaotic laser behavior.